Affine representations of Fibonacci groups and flat manifolds |
| |
| Authors: | Rafał Lutowski Zbigniew Marciniak |
| |
| Affiliation: | 1. Department of Mathematics, Physics and Informatics, Institute of Mathematics, University of Gdańsk, Gdańsk, Poland;2. Institute of Mathematics, University of Warsaw, Warszawa, Poland |
| |
| Abstract: | We construct examples of affine representations for a family of Fibonacci groups. As an application, we prove that all Hantzsche–Wendt groups of the same dimension are epimorphic images of the same Fibonacci group. |
| |
| Keywords: | Bieberbach crystallographic group Fibonacci Hantzsche–Wendt |
|
|
